9/81 added to 206/4 in Fraction Form

The result of 9/81 added to 206/4 is: 51 11/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 981 and 2064.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 981 to 36324
Convert 2064 to 16686324

Step 4: Add the Numerators

Add the numerators: 36 + 16686 = 16722

Step 5: Simplify the Fraction

We can simplify 16722324 to its lowest form.
The greatest common divisor (GCD) of 16722 and 324 is 18.
Dividing both numerator and denominator by the GCD, we get 92918.

Step 6: Convert to Mixed Number

The fraction 92918 can be written as the mixed number 511118.

Final Answer

The result of 9/81 added to 206/4 is:

981+2064=511118

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

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